Finite Group Databasebeta

← Group #334625

Character table — Group #334625

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244444448888888888888888161616161616161616161616161616323232
order12222244444444488884488888888888888224444444888888248
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111-1-1-1-1-11-1-1-1111-111-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11111-11-1-111-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-11
χ51111111111111111111-1-11111-1-1111111111-1-11-1-1-111-1-1-11-1-1-1-11
χ61111111111111111111-1-11111-1-11111-1-111-111-11-11-1-1-1-1-1-1-1-111-1
χ71111111111111111111-1-1-1-1-1-111-1-1-1-11111-111-11-1111-1-11111-1-1-1
χ81111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-11-111111
χ9111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-11-1-111-1-1-1-111-1-11-11
χ10111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1111-111-1-11-1-1-1-11-1
χ11111111111111111-1-1-1-111-1-111-1-1-1-11111-1-111-1111-1-1-1-1-1-11111-1-1
χ12111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-11-1-11111-1-1-1-111-111
χ13111111111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-11-1-11-1-1-1-111-1111-111
χ14111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11-111-1-111111-1-1111-1-1
χ15111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-11-111-1-11-1-11111-1-1-11-1
χ16111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-11-1-111111-1-1-11-11
χ17222222-222-222-2-2-20000222200-2-2-2-200000000000-2000002000000
χ18222222-222-222-2-2-2000022-2-200222200000000000-200000-2000000
χ19222222-222-222-2-2-20000-2-2220022-2-200000000000200000-2000000
χ20222222-222-222-2-2-20000-2-2-2-200-2-222000000000002000002000000
χ212222-2-222-222-2-22-200000000220000-2-22200200-200000000-200000
χ222222-2-222-222-2-22-200000000220000-2-2-2-200-200200000000200000
χ232222-2-222-222-2-22-200000000-2-20000222200-200200000000-200000
χ242222-2-222-222-2-22-200000000-2-2000022-2-200200-200000000200000
χ252222-2-22-222-22-2-22222200000000000000-2-202-20-20200000000000
χ262222-2-22-222-22-2-22222200000000000000-2-20-22020-200000000000
χ272222-2-22-222-22-2-22-2-2-2-200000000000000220220-20-200000000000
χ282222-2-22-222-22-2-22-2-2-2-200000000000000220-2-2020200000000000
χ292-22-22-20-2202-2000i2i2−i2−i22-2002−22i−2i2i−2i2−200i2−i2000000000i2−i2002−2000
χ302-22-22-20-2202-2000i2i2−i2−i22-200−22−2i2i−2i2i−2200i2−i2000000000i2−i200−22000
χ312-22-22-20-2202-2000i2i2−i2−i2-22002−2−2i2i2i−2i2−200i2−i2000000000−i2i200−22000
χ322-22-22-20-2202-2000i2i2−i2−i2-2200−222i−2i−2i2i−2200i2−i2000000000−i2i2002−2000
χ332-22-22-20-2202-2000−i2−i2i2i22-2002−2−2i2i−2i2i2−200−i2i2000000000−i2i2002−2000
χ342-22-22-20-2202-2000−i2−i2i2i22-200−222i−2i2i−2i−2200−i2i2000000000−i2i200−22000
χ352-22-22-20-2202-2000−i2−i2i2i2-22002−22i−2i−2i2i2−200−i2i2000000000i2−i200−22000
χ362-22-22-20-2202-2000−i2−i2i2i2-2200−22−2i2i2i−2i−2200−i2i2000000000i2−i2002−2000
χ374444444-4-44-4-44-4-400000000000000000000000000000000000000
χ38444444-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ394444-4-4-44-4-44-44-4400000000000000000000000000000000000000
χ404444-4-4-4-44-4-4444-400000000000000000000000000000000000000
χ4144-4-400-4004000002i2−2i22i2−2i20000000000002i2−2i20000000002-2000000000
χ4244-4-400-4004000002i2−2i22i2−2i2000000000000−2i22i2000000000-22000000000
χ4344-4-400-400400000−2i22i2−2i22i20000000000002i2−2i2000000000-22000000000
χ4444-4-400-400400000−2i22i2−2i22i2000000000000−2i22i20000000002-2000000000
χ454-44-44-404-40-440000000004i−4i000000000000000000000000000000
χ464-44-44-404-40-44000000000−4i4i000000000000000000000000000000
χ474-44-4-440440-4-40002i22i2−2i2−2i200000000000000−2i22i2000000000000000000
χ484-44-4-440440-4-4000−2i2−2i22i22i2000000000000002i2−2i2000000000000000000
χ494-44-4-440-4-40440000000000022−220000−22220000000000000000000000
χ504-44-4-440-4-404400000000000−2222000022−220000000000000000000000
χ5188-8-800800-80000000000000000000000000000000000000000000
χ528-8-88000000000004-4-440000000000000000000000000000000000
χ538-8-8800000000000-444-40000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).